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<strong>Document</strong><br />
Page 101<br />
To save notation, let's normalize the distance between the two locations to 1. Then we immediately find<br />
from (15)–(18) that<br />
and, substituting, that<br />
and<br />
The condition for sustainability of concentrated manufacturing, then, is that the right-hand side of (21)<br />
be less than one.<br />
In the intuitive discussion of agglomeration in the first part of this appendix, it was argued that<br />
agglomeration is possible because of the circular relationship between the location of the market and the<br />
location of manufacturing. We can see this intuition borne out in this model by considering what would<br />
happen if manufacturing were a very small part of the economy, close to zero. Then (21) would reduce<br />
to<br />
which is always less than one because of Jensen's inequality. In this case, in which firms sold only to<br />
the agricultural market, it would always be advantageous to move away from any concentration of<br />
manufacturing in order to get away from <strong>com</strong>petitors.<br />
<strong>file</strong>:///<strong>D|</strong>/Export3/<strong>www</strong>.<strong>netlibrary</strong>.<strong>com</strong>/<strong>nlreader</strong>/<strong>nlreader</strong>.<strong>dll</strong>@bookid=409&<strong>file</strong>name=page_101.html [4/18/2007 10:31:51 AM]